eBook - ePub

Regularity Theory and Stochastic Flows for Parabolic ISPDES

Name: Regularity Theory and Stochastic Flows for Parabolic ISPDES
ISBN: 9781040279892

Franco Flandoli,

90 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Regularity Theory and Stochastic Flows for Parabolic ISPDES

Franco Flandoli,

About this book

The book treats two topics in the theory of stochastic partial differential equations: space-regularity of solutions and existence of stochastic flows. The equations considered in the book are linear parabolic with multiplicative noise, like those arising in non-linear filtering or diffusion models in randomly moving media. Regularity theory in Sobolev spaces is extensively investigated, for homogeneous and non-homogeneous boundary value problems, with a detailed analysis of the new geometrical conditions on coefficients arising as a consequence of the stochaticity. The book provides an account of regularity results that may represent a useful reference for the researcher in stochastic partial differential equations. Regularity theory is then applied to prove the existence of stochastic flows. In spite of the variety of results on stochastic flows obtained by this method, several open problems are pointed out, with the hope of stimulating further research on this subject.

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Yes, you can access Regularity Theory and Stochastic Flows for Parabolic ISPDES by Franco Flandoli in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Physics. We have over one million books available in our catalogue for you to explore.